Answer:
F(-2) = 12
Step-by-step explanation:
F(-2) = (-2)²- 2(-2) + 4
= 4 - (-4) + 4
= 4 + 4 + 4
= 12
The required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
A quadratic function is given F(x) = x² − 2x + 4, value of the function is to be determined at x = -2.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
F(x) = x² − 2x + 4
Above given function is a quadratic function,
in order to find F(-2) , we have to put x = -2 in above given function.
F( -2 ) = ( -2 )² − 2( -2 ) + 4
F( -2 ) = 4 + 4 + 4
F( -2 ) = 16
Thus, the required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
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Find the quadratic equation whose roots are
1/2 and 1/-3
Dr. Osborne is studying a bacterial colony with a population of 30,000 bacteria. The colony is growing 5% per hour. How many bacteria will the colony contain in 4 hours?
Answer:
36,465.1875
Step-by-step explanation:
The colony grows by 5% each hour, so you take the current total of bacteria, (100%) and add 5%. Every hour, you multiply the current total by 105%.
Hope this helps :)
Tony has a 44 inch shelf. The 2 cups shown on the
shelf are each 4 in. wide. Tony wants to place
additional cups that are each 2 1/4 in. wide on the
remainder of the shelf.
1
44 in.
Approximately how many more cups can Tony
place on the remainder of the shelf?
11
19
16
Answer:
C. 16
Step-by-step explanation:
If you have 44 in space and 2 cups already on there ( 4 in) you now only have, 36 in space left.
So, 16 multiplied by 2 1/4 or 2.25 in decimal is 44 in total.
Therefore you need approximately 16 more cups.
Brainliest pls?
what did you get for Black Friday
Answer:
Nothing :(
Step-by-step explanation:
No money :(
Answer:
HOPE IT MAY HELP YOUStep-by-step explanation:
Black Friday is an informal name for the Friday following Thanksgiving Day in the United States, which is celebrated on the fourth Thursday of November. ... Many stores offer highly promoted sales on Black Friday and open very early, such as at midnight, or may even start their sales at some time on Thanksgiving.
Find the value of the variable (simplify
your answer)
Answer:
75√2
Step-by-step explanation:
The triangle is isosceles right angled.
y² = 75² + 75² = 2(75²)
y = 75√2
Joan has started a physical fitness program. One of her goals is to be able to run at least 5
miles without stopping. She can now run 3.5 miles without stopping. How many more
miles must she run non-stop to achieve her goal?
Answer:
1.5 miles
Step-by-step explanation:
Since Joan need to run 5 miles without stopping and already runs 3.5 miles without stopping, the number of miles more she must run non-stop to achieve her goal of 5 miles without stopping is the difference between her 5 mile goal and her current run of 3.5 miles.
So, number of miles she must run = 5 miles - 3.5 miles = 1.5 miles.
So, Joan must run 1.5 miles more non-stop to achieve her goal.
In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.
Step-by-step explanation:
c is greatest angle
where as b is smallest
Given the function defined in the table below, find the average rate of change, in simplest form, or the function over the interval 20
Answer:
Average rate of change = 0.4
Step-by-step explanation:
Average rate of change of a function in the interval [a, b] is defined by the formula,
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
From the table attached,
Rate of change of the function in the interval 20 ≤ x ≤ 40 will be
= [tex]\frac{f(40)-f(20)}{40-20}[/tex]
= [tex]\frac{24-16}{40-20}[/tex]
= [tex]\frac{8}{20}[/tex]
= [tex]\frac{2}{5}[/tex]
= 0.4
Therefore, average rate change of the function in the given interval 20 ≤ x ≤ 40 is = 0.4
Solve y - 4 = 3x + 5y for y
Answer:
y=3x+8
Step-by-step explanation:
y-4=3x+5y
+4 +4
y=3x+5y+4
-5y -5y
-4y=3x+4
+4 +4
y=3x+8
. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3
Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
what is the domain of the function
y =squarerpot of x
Answer: [0,+infiniti)
Step-by-step explanation:
A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?
Answer:
75 years.
Step-by-step explanation:
Divide 150 by 2, that gives you the years.
What would the sum of the interior angles of a 10 sided regular polygon shape be?
Select one:
O a. 360
O b. 1,004
O C. 1,800
O d. 1,440
What is the solution to the system of equations?
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3
Answer:
y=2/3
y=4
x=1
Step-by-step explanation:
y=2/3
y=x+3
x= -2x+3
x+2x=3
3x=3
x=3/3
x=1
The solution to the system of equations is y=2/3 and x=1.
We have given that,
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3.
x equals negative 2.
What is the system of equations?
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
y=2/3
y=x+3
x= -2x+3
x+2x=3
3x=3
x=3/3
x=1
The solution to the system of equations is y=2/3 and x=1.
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solve for x pls help
Answer:
23
Step-by-step explanation:
51+(2x+3)=100
54+2x=100
-54 -54
2x=46
x=23
A worker is promised a salsry of 40000 per year. Ignoring deductions to the salary, find the amount the worker will receive if paid on a weekly, biweekly, or monthly basis
Answer:
$3,333.33 a month
$1,538.46 biweekly
$769.23 weekly
Step-by-step explanation:
40,000/12
40,000/26
40,000/52
Answer:
Division!
40000
40,000 ÷ 12 = 3,333.33 monthly
40,000 ÷ 26 = 1538.46 biweekly
40,000 ÷ 54 = 769.23 weekly
Brainliest appreciated
Ezra has 4 quarts of lemonade, but wants to serve the lemonade in cups. How many cups does he have?
I NEED HELP NOW PLEASE
Find the slope of the line that passes through -2,8 and 0,8
Answer:
m=0
Step-by-step explanation:
8-8
0--2
0
2
0
The slope of the line that passes through points; -2,8 and 0,8 is; 0.
What is the slope of the line that passes through the points?The slope of the lines that passes through the given points is required.
Hence, it follows that;
Slope, m = (8 - 8)/(0-(-2))
Slope= 0/2 = 0.
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Help please ASAPP before 2:00
Answer
1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62
Step-by-step explanation:
pls mark brainliest
Answer:
7. 21
8. 102
9. 58
10. 41
11. 21
12. 62
Step-by-step explanation:
I need help ASAP!!!
Write the equation of a line that is parallel to the x-axis and goes through (9,-11).
A: y= -11
B: x= 9
C: x= -11
D: y= 9
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
9514 1404 393
Answer:
7/3
Step-by-step explanation:
The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":
slope = m = rise/run = 7/3
The slope of segment 5 is 7/3.
solve for p2. p1v1 = p2v2
Answer:
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Step-by-step explanation:
Given expression:
Boyle's law:
P₁ V₁ = P₂ V₂
Problem is to find P₂;
Solution:
P₁ V₁ = P₂ V₂
To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];
P₁ V₁ x [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂ x [tex]\frac{1}{V_{2} }[/tex];
[tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Hal owns a printing company. Last Christmas, he charged $8 for a set of 25 greeting cards and $14 for a set of 50. a. Find two ordered pairs that represent the situation. (8,25) (14,50)
Answer:
(8, 25) and (14, 50)
Step-by-step explanation:
Total cost of a set of cards = price per unit x number of cards
= p x n
Thus, the total cost of printing each set of cards depends on the price per unit and number of cards. So that it can be represented in ordered pair as: (p, n).
For the first set of greeting cards,
the cost of printing a card = $8.0
number of cards printed = 25
This can be represented in ordered pair as (8, 25)
For the second set of greeting cards,
the cost of printing a card = $14.0
number of cards printed = 50
This can be represented in ordered pair as (14, 50)
Thus, the two ordered pairs that can represent the situations are (8, 25) and (14, 50).
BRAINLIEST!! Please help me with the following riddle (its part of an assignment):
** Please don't search up any answers on Google or any other search engine, thank you :D
Which eight-letter word still remains a word after removing each letter from it?
Answer:
Hmm this is a fun question,
its
STARTING
This turns into: Starting, Staring, String, Sting, Sing, Sin, In, I
All of which are words
Step-by-step explanation:
Though, I know this is a common answer.
I am unsure if there are others .
Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.
Answer:
Step-by-step explanation:
Well, the linear equation of a line is:
y=mx+b
Where
m
is the slope and
b
is your y-intercept
So, you can just plug the numbers into the equation
m = − 3
and
b = − 2
y = − 3x-2
A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 minutes, and then flies directly back to the hive at 9 feet per second. It is away from the hive for a total of 16 minutes. A. What equation can you use to find the distance of the flowerbed from the hive? B. How far is the flowerbed from the hive?
9514 1404 393
Answer:
A) d/900 +14 +d/540 = 16
B) 675 feet
Step-by-step explanation:
A) The times are all given in minutes, so it is convenient to use units of feet and minutes in this problem. There are 60 seconds in a minute, so the bee's speeds can be rewritten as ...
15 ft/s = (15 ft/s)(60 s/min) = 900 ft/min
9 ft/s = (9 ft/s)(60 s/min) = 540 ft/min
We know that time is the ratio of distance to speed, so for distance d, we have a total time of ...
d/900 +14 +d/540 = 16
B) To solve the equation, we can subtract 14, then combine the fractions. Here, we choose to combine the fractions in a straightforward way, not being too concerned about "least common denominator." We use the formula ...
a/b + c/d = (ad +bc)/(bd)
(540d +900d)/(900·540) = 2 . . . . subtract 14, combine fractions
d = 2(900)(540)/(1440) = 675
The flowerbed is 675 feet from the hive.
Rewrite the quadratic expression in vertex form by completing the square. You must show all work.
y = (x^2)-2x + 7
Answer:
[tex]f(x)=(x-1)^{2}+6[/tex]
Step-by-step explanation:
First, subtract 7 from each side.
[tex]-7=x^{2} -2x[/tex]
Now, add in a blank on each side so you can write in your new term that will complete the square. We'll call that term 's' for now.
[tex]-7+s=x^{2} -2x+ s[/tex]
The next step is to take half of the b term, and then square that. In this case, half of '[tex]-2[/tex]' is [tex]-1[/tex]. If we square that we get [tex]1[/tex]. So that is the term we will put in for [tex]s[/tex].
[tex]-7+1=x^{2} -2x+1[/tex]
Simplify:
[tex]-6=x^{2} -2x+1[/tex]
If you look at the right side of the equation, we can factor. That's because we completed the square. We can use the 'guess and check' method to factor. Remember, this is where we use 2 sets of parentheses and fill in the blanks.
[tex]-6=(x-1)(x-1)[/tex]
If we were to FOIL the right side we would end up with [tex]x^{2} -2x+1[/tex].
Since we have 2 '(x-1)' terms next to each other, we can simplify to:
[tex]-6=(x-1)^{2}[/tex]
Now, all we need to do is add 6 to both sides and we have the vertex form.
[tex]f(x)=(x-1)^{2}+6[/tex]
I hope this helps!
Ok now these are my very last points please help
Answer:
wait what grade are you in ?
how many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repeats are possible?
Answer:
53
Step-by-step explanation:
5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats
[tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
Number of arrangementsGiven that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].
Number of digits [tex]=\boldsymbol{5}[/tex]
With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.
Therefore,
Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]
[tex]=\boldsymbol{125}[/tex]
So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
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A scale John on the map shows that 1 inch represents 20 miles If 2 cities are 2.5" apart On the map what is the distance between them and real life
Answer:
50 miles
Step-by-step explanation:
If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.
Answer:
50 miles
Step-by-step explanation: